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Finding the Fourth Proportional to 467,964.29, 702,019.88 and 201,800.45

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Solution

The fourth proportional to 467,964.29, 702,019.88 and 201,800.45 is: 302,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,964.29 : 702,019.88 = 201,800.45 : x
  2. Step 2: Convert to fraction form
    467,964.29/702,019.88 = 201,800.45/x
  3. Step 3: Cross multiply
    467,964.29x = 702,019.88 × 201,800.45
  4. Step 4: Simplify right side
    467,964.29x = 141,667,926,683.94
  5. Step 5: Solve for x
    x = 141,667,926,683.94/467,964.29
  6. Step 6: Final answer
    x = 302,732.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.